Written by a variety of authors both from practice and from academia, our selection of proofs, demonstrates the high quality and format of content throughout this three volume reference.
The articles highlight the broad topics and business areas, emphasizing the cross disciplinary nature of this project within the actuarial field.
Premium Principles (PDF) Stop Loss (PDF) Pensions: Financing, Risk, and Accounting (PDF)
Cramér-Lundberg Asymptotics (PDF) History of Actuarial Profession (PDF) DFA - Dynamic Financial Analysis (PDF)
(The above PDF files require Adobe Acrobat Reader. If you do not have this you can download it free of charge here).

Articles in the Encyclopedia appear alphabetically by title across the three volumes.
Here they are classified under the 12 section headings used in compiling the work.

Claims Distributions | Collective Risk Theory | Direct Nonlife Insurance | Economics | Finance | Life, Pension and Health Insurance | Organizations, Journals and History | Premium Calculation, Nonlife | Probability Theory | Reinsurance | Reserving, Nonlife | Statistics
Claims Distributions

Aggregate loss modeling
Approximating the aggregate claims distribution
Beta function
Censored distributions
Compound distributions
Compound Poisson frequency models
Continuous parametric distributions
Convolutions of distributions
Cramér-Lundberg asymptotics
Cramér-Lundberg condition and estimate
De Pril recursions and approximations
Dependent risks
Discrete multivariate distributions
Discrete parametric distributions
Discretization of distributions
Empirical distribution
Esscher transform
Extreme value distributions
Failure rate
Gamma function
Generalized discrete distributions
Heckman-Meyers algorithm
Individual risk model
Inflation impact on aggregate claims
Integrated tail distribution
Lundberg approximations, generalized
Mean residual lifetime
Mixed Poisson distributions
Mixture of distributions
Mixtures of exponential distributions
Phase-type distributions
Reliability classifications
Scale distribution
Stop-loss premium
Sundt and Jewell class of distributions
Sundt’s classes of distributions
Thinned distributions
Truncated distributions
Zero-modified frequency distributions

Collective Risk Theory

Adjustment coefficient
Ammeter process
Beekman’s convolution formula
Claim number processes
Claim size processes
Collective risk models
Collective risk theory
Compound process
Early warning systems
Lundberg inequality for ruin probability
Operational time
Risk management: an interdisciplinary framework
Risk minimization
Risk process
Ruin theory
Severity of ruin
Surplus process
Time of ruin

Direct Nonlife Insurance

Accident insurance
Annual statements
Anti-selection, nonlife
Aquaculture insurance
Automobile insurance, commercial
Automobile insurance, private
Aviation insurance
Burglary insurance
Claim frequency
Closed claim
Combined ratio
Commercial multi-peril insurance
Consequential damage
Crop insurance
Earthquake insurance
Employer’s liability insurance
Employment practices liability insurance
Expense ratios
Fidelity and surety
Financial insurance
Fire insurance
Flood risk
Homeowners insurance
Insurance company
Insurance forms
Insurance regulation and supervision
Liability insurance
Long-tail business
Loss ratio
Loss-of-profits insurance
Marine insurance
Mass tort liabilities
Mortgage insurance in the United States
Natural hazards
Nonlife insurance
P & I clubs
Property insurance — personal
Replacement value
Risk classification — pricing aspects
Risk statistics
Sickness insurance
Total loss
Travel insurance
Unemployment insurance
Workers’ compensation insurance


Adverse selection
Background risk
Borch’s theorem
Cooperative game theory
Deregulation of commercial insurance
Equilibrium theory
Financial economics
Fraud in insurance
Free riding
Frontier between public and private insurance schemes
Incomplete markets
Market equilibrium
Moral hazard
Noncooperative game theory
Nonexpected utility theory
Oligopoly in insurance markets
Optimal risk sharing
Pareto optimality
Pooling equilibria
Risk aversion
Risk utility ranking
Underwriting cycle
Utility theory


Affine models of the term structure of interest rates
Asset management
Asset-liability modeling
Binomial model
Black-Scholes model
Capital allocation for P&C insurers: A survey of methods
Catastrophe derivatives
Collective investment (pooling)
Complete markets
Credit risk
Credit scoring
Derivative pricing, numerical methods
Derivative securities
DFA — Dynamic financial analysis
Efficient markets hypothesis
Financial engineering
Financial intermediaries: the relationship between their economic functions and actuarial risks
Financial markets
Fixed-income security
Foreign exchange risk in insurance
Hedging and risk management
Index-linked security
Inflation: a case study
Interest rate risk and immunization
Interest-rate modeling
Market models
Portfolio theory
Risk based capital allocation
Risk measures
Stochastic investment models
Transaction costs
Utility maximization
Value at risk
Wilkie investment model

Life, Pension and Health Insurance

Actuarial control cycle
Asset shares
Assets in pension funds
Capital in life assurance
Commutation functions
Decrement analysis
Disability insurance
Disability insurance, numerical methods
Dynamic financial modeling of an insurance enterprise
Euler-Maclaurin expansion and Woolhouse’s formula
Genetics and insurance
Group life insurance
Hattendorf’s theorem
Health insurance
Heterogeneity in life insurance
International actuarial notation
Lexis diagram
Lidstone’s theorem
Life insurance
Life insurance mathematics
Life table
Long-term care insurance
Maturity guarantees working party
Model office
Mortality laws
Options and guarantees in life insurance
Participating business
Pension fund mathematics
Pensions, individual
Pensions: finance, risk and accounting
Present values and accumulations
Profit testing
Risk-based capital requirements
Social Security
Surplus in life and pension insurance
Surrenders and alterations
Technical bases in life insurance
Unit-linked business
Valuation of life insurance liabilities
Waring’s theorem

Organizations, Journals and History

Actuarial Institute of the Republic of China
Actuarial Research Clearing House (ARCH)
Actuarial Society of Ghana
Actuarial Society of Hong Kong
Aktuarvereinigung Österreichs (Austrian Actuarial Association)
American Academy of Actuaries
American Risk and Insurance Association (ARIA)
American Society of Pension Actuaries
Ammeter, Hans
Argentina, actuarial associations
Association of Actuaries and Financial Analysts
Association Royale des Actuaires Belges
Bailey, Arthur L.
Beard, Robert Eric
Bernoulli family
Borch, Karl Henrik
Brazilian Institute of Actuaries (IBA)
British Actuarial Journal
Canadian Institute of Actuaries
Casualty Actuarial Society
Ceska Spolecnost Aktuaru (Czech Society of Articles)
China, development of actuarial science
Col·legi d’Actuaris de Catalunya
Conference of Consulting Actuaries
Cramér, Harald
Croatian Actuarial Association
Cyprus Association of Actuaries (CAA)
De Finetti, Bruno
De Moivre, Abraham
de Witt, Johan
Den Danske Aktuarforening
Den Norske Aktuarforening (The Norwegian Society of Actuaries)
Deutsche Aktuarvereinigung e. V. (DAV)
Dodson, James
Early mortality tables
Estonian Actuarial Society
Faculty of Actuaries
Franckx, Edouard
Gompertz, Benjamin
Graunt, John
Groupe Consultatif Actuariel Européen
Halley, Edmond
Hellenic Actuarial Society
Het Actuarieel Genootschap
(The Dutch
Actuarial Society)
History of Actuarial Education
History of Actuarial Profession
History of Actuarial Science
History of Insurance
Hungarian Actuarial Society
Huygens, Christiaan and Lodewijck
Institut des Actuaires
Institute of Actuaries
Institute of Actuaries of Australia
Institute of Actuaries of Japan
Insurance: Mathematics and Economics
International Actuarial Association
International Association for the Study of Insurance Economics — `The Geneva Association’
International Association of Consulting Actuaries
Israel Association of Actuaries
Istituto Italiano degli Attuari
Journal of Actuarial Practice
Latvian Actuarial Association
Lidstone, George James (1870—1952)
Linton, Morris Albert
Lundberg, Filip
McClintock, Emory
Mexico, actuarial associations
National associations of actuaries
New Zealand Society of Actuaries
Pakistan Society of Actuaries
Persatuan Aktuari Malaysia
Polskie Stowarzyszenie Aktuariuszy
Portugese institute of actuaries
Price, Richard
Redington, Frank Mitchell (1906—1986)
Rubinow, Isaac Max
Scandinavian Actuarial Journal
Segerdahl, Carl-Otto
Singapore Actuarial Society
Slovak Society of Actuaries
Slovenian Association of Actuaries (SAA)
Society of Actuaries
Suomen Aktuaariyhdistys — The Actuarial Society of Finland
Svenska Aktuarieföreningen, Swedish Society of Actuaries
Sverdrup, Erling
Swiss Association of Actuaries
Thiele, Thorvald Nicolai (1838—1910)
Ukrainian Actuarial Society
Wright, Elizur

Premium Calculation, Nonlife

Bailey-Simon method
Bonus-malus systems
Catastrophe models and Catastrophe loads
Credibility theory
Experience rating
Financial pricing of insurance
Ordering of risks
Premium principles
Retrospective premium
Risk classification, practical aspects

Probability Theory

Brownian motion
Central limit theorem
Change of measure
Counting processes
Diffusion approximations
Diffusion processes
Dirichlet processes
Extreme value theory
Fuzzy set theory
Gaussian processes
Hidden Markov models
Itô calculus
Large deviations
Lévy processes
Long range dependence
Markov chains and Markov processes
Markov chains Monte Carlo methods
Markov models in actuarial science
Operations research
Ornstein-Uhlenbeck process
Phase method
Point processes
Poisson processes
Probability theory
Queueing theory
Random number generation and Quasi-Monte Carlo
Random variable
Random walk
Rare event
Regenerative processes
Renewal theory
Shot-noise processes
Simulation of stochastic processes
Stationary processes
Stochastic control theory
Stochastic optimization
Stochastic orderings
Stochastic processes
Subexponential distributions
Under- and overdispersion


Alternative risk transfer
Burning cost
Catastrophe excess of loss
Excess-of-loss reinsurance
Exposure rating
Financial reinsurance
Largest claims and ECOMOR reinsurance
Life reinsurance
Nonproportional reinsurance
Pareto rating
Pooling in insurance
Pooling of employee benefits
Proportional reinsurance
Quota share reinsurance
Reinsurance — terms, conditions, and methods of placing
Reinsurance forms
Reinsurance pricing
Reinsurance supervision
Reinsurance, functions and values
Reinsurance, reserving
Retention and reinsurance programmes
Stop loss reinsurance
Surplus treaty
Working covers

Reserving, Nonlife

Bayesian claims reserving
Bornhuetter-Fergusson method
Chain-ladder method
Claims reserving using credibility methods
Fluctuation reserves
Generalized linear models
Kalman filter, reserving methods
Nonlife reserves — continuous time micro models
Reserving in nonlife insurance
Separation method


Bayesian statistics
Competing risks
Decision theory
Graphical methods
Information criteria
Kalman filter
Life table data, combining
Logistic regression model
Maximum likelihood
Multivariate statistics
Neural networks
Nonparametric statistics
Numerical algorithms
Occurrence/exposure rate
Outlier detection
Parameter and model uncertainty
Regression models for data analysis
Reliability analysis
Screening methods
Simulation methods for stochastic differential equations
Simulation of risk processes
Statistical terminology
Stochastic simulation
Survival analysis
Time series



Copyright © 2004 John Wiley & Sons Ltd. All rights reserved